J. Thorne

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20112026

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-adic Galois representations with small residual image

79 citations · 187 across the 26 of their papers we have counts for

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math.NT2018★ 8 cited

Potential automorphy over CM fields

Patrick B. Allen, Frank Calegari, Ana Caraiani +7

Let $F$ be a CM number field. We prove modularity lifting theorems for regular $n$ -dimensional Galois representations over $F$ without any self-duality condition. We deduce that al…

math.NT2018★ 6 cited

$E_{8}$ and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve

Beth Romano, Jack A. Thorne

We prove that the average size of the 3-Selmer group of a genus-2 curve with a marked Weierstrass point is 4.

Potential automorphy over CM fields

E8​ and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve

$E_{8}$ and the average size of the 3-Selmer group of the Jacobian of a pointed genus-2 curve